The shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be <u>heart-shaped</u>.
A prism is a polyhedron made up of n parallelogram faces that connect the n-sided polygon base, the second base, which is a translated duplicate of the first base, and the n faces. The bases are translated into all cross-sections that are parallel to them.
In the question, we are informed that a prism with a heart-shaped base is sliced parallel to the base.
We are asked what shape is formed.
From the above discussion, we know that the bases are translated into all cross-sections that are parallel to them, that is, all cross-sections parallel to the base, will be congruent to the base.
Thus, the shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be <u>heart-shaped</u>.
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HGE and FGD would be your answers
We can do this by subtracting 7x from both sides, getting us:
11y= -7x+10.
We can then divide both sides by 11, giving our final answer:
y = -7/11x+10/11.
Hope this helped!
Answer:

Step-by-step explanation: